|[y+z,x,x],[y,z+x,y],[z,z,x+y]|" Value of है- "

Show that abs([y+z ,x,x],[y,z+x,y],[z,z,x+y])=4xyz

Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonzero real number, is equal to a. x y z b. 2x y z c. 3x y z d. 4x y z

Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonzero real number, is equal to a. x y z b. 2x y z c. 3x y z d. 4x y z

Prove that |[x+y, y+z, z+x] , [z+x, x+y, y+z] , [y+z, z+x, x+y]|=2|[x,y,z] , [z,x,y] , [y,z,x]|

Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz

Prove that: |[y+z, z, y],[z, z+x, x], [y, x, x+y]|= 4 xyz

The value of |(x +y,y+z,z+x),(x,y,z),(x -y,y-z,z-x)| is euqal to

Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are nonzero real number, is equal to x y z b. 2x y z c. 3x y z d. 4x y z

Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are nonzero real number, is equal to x y z b. 2x y z c. 3x y z d. 4x y z

Prove that : |[x+y+z,-z,-y],[-z, x+y+z, -x],[-y,-x,x+y+z]|= 2(x+y)(y+z)(z+x)